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Veronika [31]
3 years ago
14

What is the value of the expression?

Mathematics
2 answers:
Blababa [14]3 years ago
8 0

Answer:

- \frac{9}{10}

Step-by-step explanation:

Step 1: Add the numerator fractions.

2/5 + 3/10

Here we have to find LCD, the LCD of 5 and 10 is 10

                                         (2*2) + 3         4 + 3

Therefore,  2/5 + 3/10 = ---------------  = ------------------

                                          10                     10

= 7/10

Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get


 7/10

=  ----------

     -7/9

If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.

The reciprocal of -7/9 is -9/7

Step 3: Now multiply 13/10 and -9/7

= (7/10) x (-9/7)

= -9/10

=-9/10

The answer is  -\frac{9}{10}

Vlada [557]3 years ago
3 0

<u>Answer:</u>

-9/10 is the simplest form of the given expression.

<u>Step-by-step explanation:</u>

We are given the following complex fraction:

\frac{\frac{2}{5}+\frac{3}{10}  }{\frac{-7}{9} }

To solve it, we will first take LCM of the fractions in the numerator and change it to a single fraction to get:

\frac{\frac{2}{5} +\frac{3}{10} }{\frac{-7}{9} }

=\frac{\frac{4+3}{10} }{\frac{-7}{9} }

=\frac{\frac{7}{10} }{\frac{-7}{9} }

Taking inverse of the fraction in the denominatot:

=\frac{7}{10} × -\frac{9}{7}

= -\frac{9}{10}

Therefore, the simplest form of the given expression is -9/10.

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